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Divisibility Rules Worksheet

Vedic maths trick 13: Divisibility tests · Set 954 · 40 sums
TalentJR

The trick (Ekadhikena Purvena): 2, 5, 10: the last digit (even; 0 or 5; 0). 3 and 9: add the digits. 4: the last two digits. 8: the last three digits. 6: even and passes the rule for 3. 11: from the right, add the 1st, 3rd, 5th… digits and the 2nd, 4th… digits; the difference must be 0 or a multiple of 11. Any prime p: multiply p by 1, 3, 7 or 9 so it ends in 9; one more than the digits before the 9 is the osculator (7 → 5, 13 → 4, 17 → 12, 19 → 2, 23 → 7, 29 → 3). Take the last digit × the osculator and add it to the rest; repeat until the number is small and check the times table. Composite numbers: split into two factors that share no factor and pass BOTH rules — 6 = 2 × 3, 12 = 3 × 4, 15 = 3 × 5, 18 = 2 × 9, 20 = 4 × 5, 24 = 3 × 8, 30 = 3 × 10.

NameDateTime takenScore ___ / 40
  1. 1.Is 57400 divisible by 10?
  2. 2.Is 7561 divisible by 4?
  3. 3.Is 70157 divisible by 23?
  4. 4.Is 129140 divisible by 20?
  5. 5.Is 33889 divisible by 7?
  6. 6.Is 63257 divisible by 17?
  7. 7.Is 50897 divisible by 11?
  8. 8.Is 5125 divisible by 3?
  9. 9.Is 25480 divisible by 5?
  10. 10.Is 16353 divisible by 11?
  11. 11.Is 67402 divisible by 10?
  12. 12.Is 4326 divisible by 15?
  13. 13.Is 20360 divisible by 4?
  14. 14.Is 8184 divisible by 6?
  15. 15.Is 89329 divisible by 13?
  16. 16.Is 27196 divisible by 29?
  17. 17.Is 11488 divisible by 5?
  18. 18.Is 60916 divisible by 9?
  19. 19.Is 89147 divisible by 17?
  20. 20.Is 15759 divisible by 4?
  21. 21.Is 5031 divisible by 24?
  22. 22.Is 28880 divisible by 5?
  23. 23.Is 113126 divisible by 19?
  24. 24.Is 159561 divisible by 23?
  25. 25.Is 5833 divisible by 2?
  26. 26.Is 71745 divisible by 30?
  27. 27.Is 2022 divisible by 13?
  28. 28.Is 148260 divisible by 29?
  29. 29.Is 79040 divisible by 20?
  30. 30.Is 12840 divisible by 7?
  31. 31.Is 5175 divisible by 3?
  32. 32.Is 122607 divisible by 19?
  33. 33.Is 40884 divisible by 12?
  34. 34.Is 51500 divisible by 10?
  35. 35.Is 40871 divisible by 23?
  36. 36.Is 155491 divisible by 29?
  37. 37.Is 4686 divisible by 3?
  38. 38.Is 18608 divisible by 7?
  39. 39.Is 165647 divisible by 30?
  40. 40.Is 88151 divisible by 19?

Answer key

  1. yes
  2. no
  3. no
  4. yes
  5. no
  6. yes
  7. yes
  8. no
  9. yes
  10. no
  11. no
  12. no
  13. yes
  14. yes
  15. no
  16. no
  17. no
  18. no
  19. no
  20. no
  21. no
  22. yes
  23. yes
  24. no
  25. no
  26. no
  27. no
  28. no
  29. yes
  30. no
  31. yes
  32. yes
  33. yes
  34. yes
  35. yes
  36. no
  37. yes
  38. no
  39. no
  40. no

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